Math 1: Algebra, Geometry and Statistics
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
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Exit Ticket 70 – Linear Functions from Tables – Section 5.13 CORE A. Determine which of the following are linear functions. If they are linear functions, find the function rule. If they are not linear functions, explain why not. no yes why not Is it a linear function? Write a function rule Explain 1. x y = a(x) ∆ 2. x y = b(x) ∆ 3. x y = c(x) ∆ 0 2 0 5 0 3 1 6 1 1 1 5.5 2 18 2 − 3 2 8 3 54 3 − 7 3 10.5 4 162 4 − 11 4 13 Function rule or explanation: 4. x y = d(x) ∆ Function rule or explanation: Function rule or explanation: 5. x y = e(x) ∆ 6. x y = f(x) 2 5
3
1 5 ∆ 0 − 9 0 − 10 0 1 − 4 1 − 9 1 2 1 2 − 6 2 2 4 5 3 6 3 − 1 3 4 4 11 4 6 4 51 5 Function rule or explanation: Function rule or explanation: Function rule or explanation: Math 1: Algebra, Geometry and Statistics
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
Name:
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B. Matthew decides whether a linear function generated the table below. Matthew: Each output is two more than the previous output, so the function must be linear, but I can’t make any rule work. x y = m(x) ∆ 0 1 2
1 3 2
2 5 2
4 7 2
7 9 1. Plot the points (above) to show that the table does not match a linear function. 2. Explain what Matt is doing wrong. EXTENSION: C. In the tables below, variables are used in place of some numbers in linear function tables. Complete the tables and find a rule for each function. 1. 2. x y = k(x) ∆ x y = h(x) ∆ 0 3 a 0 b a 1 a 1 a 2 a 2 a 3 a 3 a 4 4a + 3 a 4 4a + b a 5 5 Function Rule: Function Rule: